The b & w leather company wants to add handmade belts and wallets to its product line. each belt nets the company $18 in profit, and each wallet nets $12. both belts and wallets require cutting and sewing. belts require 2 hours of cutting time and 6 hours of sewing time. wallets require 3 hours of cutting time and 3 hours of sewing time.

if the cutting machine is available 12 hours a week and the sewing machine is available 18 hours per week, what ratio of belts and wallets will produce the most profit within the constraints?